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Finding the Fourth Proportional to 2,324.79, 3,208.20 and 1,262.59

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Solution

The fourth proportional to 2,324.79, 3,208.20 and 1,262.59 is: 1,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.79 : 3,208.20 = 1,262.59 : x
  2. Step 2: Convert to fraction form
    2,324.79/3,208.20 = 1,262.59/x
  3. Step 3: Cross multiply
    2,324.79x = 3,208.20 × 1,262.59
  4. Step 4: Simplify right side
    2,324.79x = 4,050,625.20
  5. Step 5: Solve for x
    x = 4,050,625.20/2,324.79
  6. Step 6: Final answer
    x = 1,742.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.